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Simplifying b + a + 2b + a + 1 = 0 Reorder the terms: 1 + a + a + b + 2b = 0 Combine like terms: a + a = 2a 1 + 2a + b + 2b = 0 Combine like terms: b + 2b = 3b 1 + 2a + 3b = 0 Solving 1 + 2a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2a + -1 + 3b = 0 + -1 Reorder the terms: 1 + -1 + 2a + 3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2a + 3b = 0 + -1 2a + 3b = 0 + -1 Combine like terms: 0 + -1 = -1 2a + 3b = -1 Add '-3b' to each side of the equation. 2a + 3b + -3b = -1 + -3b Combine like terms: 3b + -3b = 0 2a + 0 = -1 + -3b 2a = -1 + -3b Divide each side by '2'. a = -0.5 + -1.5b Simplifying a = -0.5 + -1.5b
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